How I draw shape of traveling wave at various times?

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Dilan Kilic 2020-3-23

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评论： Dilan Kilic 2020-4-9

Hi everyone, I have a problem with drawing of traveling wave shape. I create a code like this below. But I cannot draw traveling shape. I also attached formulas with this problem.

clear, clc

syms l;

syms x;

syms h;

syms wi;

syms t;

syms i;

func = (4/3)*h*(x/l)*sin(i*pi*x/l);

result=int(func,x,0,3*l/4);

func2 = 4*h*(1-(x/l))*sin(i*pi*x/l);

result2=int(func2,x,3*l/4,l);

sonuc=(2/l)*(result+result2); % This is the Fi function

%pretty(simplify(sonuc)); % Fi function

v_x_t=sonuc*sin((i*pi*x)/l)*cos(wi*t);

pretty(simplify(v_x_t));

%% Plotting Initial Shape------------------------------------------------

x1=0:.01:6;

y1=2*x1/3;

x2=6:.01:8;

y2=-2*x2+16;

x=[x1 x2];

y=[y1 y2];

x_line=0:.01:8;

y_line=0*x_line;

% h is assumed to be 4 and l is assumed to be 8.

figure(1)

plot(x,y,'r',x_line,y_line,'--k','linewidth',2)

axis([0 8 -2 6])

title('Initial Shape of f(x)')

xlabel('length')

ylabel('h')

THE RESULTS:

Thanks a lot:)

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Dilan Kilic 2020-3-27

Thanks for interesting Kumar,

Now, i have a problem of shorting this codes. I can plot this shapes at various time. I attached also code here. However, i want to animate these function shapes. Also, in the following code f(x) is created. f(x) is a partial function.

*************************This is the initial shape code:*************************************

clear,clc

x1=2:.01:6;

x2=4:.01:8;

y1=(2*(x1+1)-6)+(-2*(x2+1)+14);

y2=(2*(x1-1)-6)+(-2*(x2-1)+14);

x=[x1 x2];

y=[y1 y2];

x_line=0:.01:8;

y_line=0*x_line;

% h is assumed to be 4 and l is assumed to be 8.

figure(1)

plot(x,y,'r',x_line,y_line,'--k','linewidth',2)

axis([0 8 -6 6])

title('Initial Shape of f(x)')

xlabel('length')

ylabel('h')

********************************And the second shape of this question code********************************

clear,clc

%% Plotting Second Shape

x1=6:.01:8;

x2=4:.01:6;

x3=4:.01:6;

x4=2:.01:4;

y1=(1/2)*(-2*(x1-1)+14);

y2=(1/2)*(-2*(x2+1)+14);

y3=(1/2)*(2*(x3-1)-6);

y4=(1/2)*(2*(x4+1)-6);

x=[x1 x2 x3 x4];

y=[y1 y2 y3 y4];

x_line=0:.01:8;

y_line=0*x_line;

% h is assumed to be 4 and l is assumed to be 8.

figure(1)

hold on

plot(x1,y1,'r',x_line,y_line,'--k','linewidth',2)

plot(x2,y2,'r',x_line,y_line,'--k','linewidth',2)

plot(x3,y3,'r',x_line,y_line,'--k','linewidth',2)

plot(x4,y4,'r',x_line,y_line,'--k','linewidth',2)

axis([0 8 -6 6])

title('Second Shape of f(x)')

xlabel('length')

ylabel('h')

Anudeep Kumar 2020-3-31

Hey to draw and animate plots you can refer to the following link and modify your code accordingly

https://in.mathworks.com/help/matlab/ref/animatedline.html

https://stackoverflow.com/questions/23688688/how-to-do-an-animated-plot-in-matlab/23689973

I hope that will help solve your issue .

Dilan Kilic 2020-4-9

Thanks Kumar. The problem have been solved :)

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